19085664 has 96 divisors (see below), whose sum is σ = 55417824. Its totient is φ = 5713920.

The previous prime is 19085657. The next prime is 19085681. The reversal of 19085664 is 46658091.

It is a tau number, because it is divible by the number of its divisors (96).

It is a Harshad number since it is a multiple of its sum of digits (39).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 50982 + ... + 51354.

It is an arithmetic number, because the mean of its divisors is an integer number (577269).

Almost surely, 2^19085664 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 19085664, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (27708912).

19085664 is an abundant number, since it is smaller than the sum of its proper divisors (36332160).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

19085664 is a wasteful number, since it uses less digits than its factorization.

19085664 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 440 (or 432 counting only the distinct ones).

The product of its (nonzero) digits is 51840, while the sum is 39.

The square root of 19085664 is about 4368.7142273214. The cubic root of 19085664 is about 267.2405916794.

The spelling of 19085664 in words is "nineteen million, eighty-five thousand, six hundred sixty-four".